Answer: Their weekly pay would be the same if xx equals $1,600
Step-by-step explanation: The first and most important step is to identify what the question requires, and that is, what is the value of the unknown in the equation of their weekly incomes that would make their pay to be the same? Their weekly pay as per individual is given as follows;
Khloe = 245 + 0.095x ———(1)
Emma = 285 + 0.07x ———(2)
Simply put, we need to find the value of x when equation (1) equals equation (2)
245 + 0.095x = 285 + 0.07x
Collect like terms and we now have
0.095x - 0.07x = 285 - 245
0.025x = 40
Divide both sides of the equation by 0.025
x = 1600
Therefore their weekly pay would be at the same level, if x equals $1600
25/250 = 1/10
I do not know that much english. I an spanish so I might have done it wrong.
Answer:
Step-by-step explanation:
We need to find out the value of sinC using the given triangle . Here we can see that the sides of the triangle are 40 , 41 and 9 .
We know that the ratio of sine is perpendicular to hypontenuse .
Here we can see that the side opposite to angle C is 40 , therefore the perpendicular of the triangle is 40. And the side opposite to 90° angle is 41 . So it's the hypontenuse . On using the ratio of sine ,
Substitute the respective values ,
<u>Hence the required answer is 40/41.</u>
<span>So you have composed two functions,
</span><span>h(x)=sin(x) and g(x)=arctan(x)</span>
<span>→f=h∘g</span><span>
meaning
</span><span>f(x)=h(g(x))</span>
<span>g:R→<span>[<span>−1;1</span>]</span></span>
<span>h:R→[−<span>π2</span>;<span>π2</span>]</span><span>
And since
</span><span>[−1;1]∈R→f is defined ∀x∈R</span><span>
And since arctan(x) is strictly increasing and continuous in [-1;1] ,
</span><span>h(g(]−∞;∞[))=h([−1;1])=[arctan(−1);arctan(1)]</span><span>
Meaning
</span><span>f:R→[arctan(−1);arctan(1)]=[−<span>π4</span>;<span>π4</span>]</span><span>
so there's your domain</span>